TSTP Solution File: SET642+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET642+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 09:07:48 EDT 2024
% Result : Theorem 0.57s 0.76s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 8 unt; 0 def)
% Number of atoms : 139 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 164 ( 56 ~; 42 |; 43 &)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 83 ( 59 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f80,plain,
$false,
inference(subsumption_resolution,[],[f77,f75]) ).
fof(f75,plain,
~ subset(sK0,cross_product(sK1,sK2)),
inference(unit_resulting_resolution,[],[f48,f62]) ).
fof(f62,plain,
! [X2,X0,X1] :
( ilf_type(X0,relation_type(X1,X2))
| ~ subset(X0,cross_product(X1,X2)) ),
inference(subsumption_resolution,[],[f61,f49]) ).
fof(f49,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/tmp/tmp.kKNRWEJk7v/Vampire---4.8_13911',p19) ).
fof(f61,plain,
! [X2,X0,X1] :
( ilf_type(X0,relation_type(X1,X2))
| ~ subset(X0,cross_product(X1,X2))
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f60,f49]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ilf_type(X0,relation_type(X1,X2))
| ~ subset(X0,cross_product(X1,X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f51,f49]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ilf_type(X0,relation_type(X1,X2))
| ~ subset(X0,cross_product(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ilf_type(X0,relation_type(X1,X2))
| ~ subset(X0,cross_product(X1,X2))
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ilf_type(X0,relation_type(X1,X2))
| ~ subset(X0,cross_product(X1,X2))
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( subset(X0,cross_product(X1,X2))
=> ilf_type(X0,relation_type(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.kKNRWEJk7v/Vampire---4.8_13911',p2) ).
fof(f48,plain,
~ ilf_type(sK0,relation_type(sK1,sK2)),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( ~ ilf_type(sK0,relation_type(sK1,sK2))
& subset(sK0,sK3)
& ilf_type(sK3,relation_type(sK1,sK2))
& ilf_type(sK2,set_type)
& ilf_type(sK1,set_type)
& ilf_type(sK0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f23,f35,f34,f33,f32]) ).
fof(f32,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ ilf_type(X0,relation_type(X1,X2))
& subset(X0,X3)
& ilf_type(X3,relation_type(X1,X2)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ ilf_type(sK0,relation_type(X1,X2))
& subset(sK0,X3)
& ilf_type(X3,relation_type(X1,X2)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(sK0,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ ilf_type(sK0,relation_type(X1,X2))
& subset(sK0,X3)
& ilf_type(X3,relation_type(X1,X2)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
=> ( ? [X2] :
( ? [X3] :
( ~ ilf_type(sK0,relation_type(sK1,X2))
& subset(sK0,X3)
& ilf_type(X3,relation_type(sK1,X2)) )
& ilf_type(X2,set_type) )
& ilf_type(sK1,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
( ? [X2] :
( ? [X3] :
( ~ ilf_type(sK0,relation_type(sK1,X2))
& subset(sK0,X3)
& ilf_type(X3,relation_type(sK1,X2)) )
& ilf_type(X2,set_type) )
=> ( ? [X3] :
( ~ ilf_type(sK0,relation_type(sK1,sK2))
& subset(sK0,X3)
& ilf_type(X3,relation_type(sK1,sK2)) )
& ilf_type(sK2,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
( ? [X3] :
( ~ ilf_type(sK0,relation_type(sK1,sK2))
& subset(sK0,X3)
& ilf_type(X3,relation_type(sK1,sK2)) )
=> ( ~ ilf_type(sK0,relation_type(sK1,sK2))
& subset(sK0,sK3)
& ilf_type(sK3,relation_type(sK1,sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ ilf_type(X0,relation_type(X1,X2))
& subset(X0,X3)
& ilf_type(X3,relation_type(X1,X2)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ ilf_type(X0,relation_type(X1,X2))
& subset(X0,X3)
& ilf_type(X3,relation_type(X1,X2)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> ( subset(X0,X3)
=> ilf_type(X0,relation_type(X1,X2)) ) ) ) ) ),
inference(negated_conjecture,[],[f20]) ).
fof(f20,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> ( subset(X0,X3)
=> ilf_type(X0,relation_type(X1,X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.kKNRWEJk7v/Vampire---4.8_13911',prove_relset_1_4) ).
fof(f77,plain,
subset(sK0,cross_product(sK1,sK2)),
inference(unit_resulting_resolution,[],[f47,f46,f65]) ).
fof(f65,plain,
! [X2,X3,X0,X1] :
( subset(X0,cross_product(X1,X2))
| ~ subset(X0,X3)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(subsumption_resolution,[],[f64,f49]) ).
fof(f64,plain,
! [X2,X3,X0,X1] :
( subset(X0,cross_product(X1,X2))
| ~ subset(X0,X3)
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f63,f49]) ).
fof(f63,plain,
! [X2,X3,X0,X1] :
( subset(X0,cross_product(X1,X2))
| ~ subset(X0,X3)
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f52,f49]) ).
fof(f52,plain,
! [X2,X3,X0,X1] :
( subset(X0,cross_product(X1,X2))
| ~ subset(X0,X3)
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( subset(X0,cross_product(X1,X2))
| ~ subset(X0,X3)
| ~ ilf_type(X3,relation_type(X1,X2)) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( subset(X0,cross_product(X1,X2))
| ~ subset(X0,X3)
| ~ ilf_type(X3,relation_type(X1,X2)) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> ( subset(X0,X3)
=> subset(X0,cross_product(X1,X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.kKNRWEJk7v/Vampire---4.8_13911',p1) ).
fof(f46,plain,
ilf_type(sK3,relation_type(sK1,sK2)),
inference(cnf_transformation,[],[f36]) ).
fof(f47,plain,
subset(sK0,sK3),
inference(cnf_transformation,[],[f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET642+3 : TPTP v8.1.2. Released v2.2.0.
% 0.13/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 16:38:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.kKNRWEJk7v/Vampire---4.8_13911
% 0.57/0.75 % (14309)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.57/0.75 % (14309)Refutation not found, incomplete strategy% (14309)------------------------------
% 0.57/0.75 % (14309)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (14302)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.75 % (14309)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (14309)Memory used [KB]: 1022
% 0.57/0.75 % (14309)Time elapsed: 0.002 s
% 0.57/0.75 % (14309)Instructions burned: 2 (million)
% 0.57/0.75 % (14303)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.57/0.75 % (14306)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.75 % (14305)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.75 % (14304)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75 % (14307)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.75 % (14309)------------------------------
% 0.57/0.75 % (14309)------------------------------
% 0.57/0.75 % (14308)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.57/0.75 % (14307)Refutation not found, incomplete strategy% (14307)------------------------------
% 0.57/0.75 % (14307)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (14307)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (14307)Memory used [KB]: 1022
% 0.57/0.75 % (14307)Time elapsed: 0.003 s
% 0.57/0.75 % (14307)Instructions burned: 2 (million)
% 0.57/0.75 % (14307)------------------------------
% 0.57/0.75 % (14307)------------------------------
% 0.57/0.75 % (14302)Also succeeded, but the first one will report.
% 0.57/0.75 % (14305)First to succeed.
% 0.57/0.76 % (14306)Refutation not found, incomplete strategy% (14306)------------------------------
% 0.57/0.76 % (14306)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (14306)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (14306)Memory used [KB]: 1035
% 0.57/0.76 % (14306)Time elapsed: 0.003 s
% 0.57/0.76 % (14306)Instructions burned: 4 (million)
% 0.57/0.76 % (14306)------------------------------
% 0.57/0.76 % (14306)------------------------------
% 0.57/0.76 % (14308)Also succeeded, but the first one will report.
% 0.57/0.76 % (14305)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14121"
% 0.57/0.76 % (14311)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.57/0.76 % (14305)Refutation found. Thanks to Tanya!
% 0.57/0.76 % SZS status Theorem for Vampire---4
% 0.57/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.76 % (14305)------------------------------
% 0.57/0.76 % (14305)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (14305)Termination reason: Refutation
% 0.57/0.76
% 0.57/0.76 % (14305)Memory used [KB]: 1035
% 0.57/0.76 % (14305)Time elapsed: 0.004 s
% 0.57/0.76 % (14305)Instructions burned: 4 (million)
% 0.57/0.76 % (14121)Success in time 0.387 s
% 0.57/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------